Description

We derive the predictive distribution for a specified order statistic, determined from a future random sample, under a Dirichlet process prior. Two variants of the approach are treated and some limiting cases studied. A practical application to monitoring the strength of lumber is discussed including choices of prior expectation and comparisons made to a Bayesian parametric approach.

Publication Notes

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This article was written and prepared by U.S. Government employees on official time, and is therefore in the public domain.